Fall 2007 Course Syllabus
Course: 2101.002.
Course Title: Linear Algebra.
Time: Tues & Thurs 1:10 - 2:30 and Mon 11:40 -12:30(LAB).
Place: Barton 407 and Tuttleman Lab 9.
Instructor: Hill, David R.
Instructor Office: Wachman Hall 512.
Instructor Email: david.hill@temple.edu
Instructor Phone: 215-204-1654.
Course Web Page: http://astro.temple.edu/~dhill001/course/LINEAR%20ALGEBRA%20FALL%202007/linalgfall2007.html
Office Hours: Mon 8:30-10:30, Tues & Thurs 8:30 - 11:30.
Prerequisites: Two terms of Calculus.
Textbook: Introductory Linear Algebra (an Applied First Course) 8th Edition, by B. Kolman and D. Hill, Pearson Prentice Hall, ISBN 0-13-143740-2, AND Linear Algebra LABS with MATLAB 3rd Edition, By D. Hill and D. Zitarelli, Pearson Prentice Hall, ISBN 0-13-143274-5.
Course Goals: By the end of the course, students should be able to: Use the Gaussian elimination procedure to determine whether a given system of simultaneous linear equations is consistent, and if so to find the general solution. Invert a matrix by the Gaussian elimination method. Understand the concepts of vector space and subspace, and apply the subspace test to determine whether a given subset of a vector space is a subspace. Understand the concepts of linear combination of vectors, linear independence, linear dependence, spanning set, and basis. Determine whether or not a given set of vectors in Rn is linearly independent and/or spans Rn. Find a basis for a subspace, defined either as the span of a given set of vectors, or as the solution space of a system of homogeneous equations. Calculate the rank of a given matrix and, from that, the dimension of the solution space of the corresponding system of homogenous linear equations. Understand the concept of inner product in general, and calculate the usual Euclidean inner product of two given vectors in Rn. Understand the meaning of a least squares and be able to compute a least squares line for a set of data from R2. Be familiar with the Gram-Schmidt method to convert a given basis for a subspace of Rn to an orthonormal basis. Find the coordinates of a given element of Rn in terms of a given basis - especially in the case of an orthogonal or orthonormal basis. Understand the concepts of linear transformation, range and nullspace. Compute the characteristic polynomial of a square matrix and (in simple cases) factorize to find the eigenvalues. Determine whether a given square matrix is diagonalizable, and if so find a diagonalizing matrix.
Topics Covered: Matrices, matrix algebra, matrix transformations, linear systems of equations, lines of best fit, the determinant, eigenvalues and eigenvectors, vector spaces, inner product, inner product spaces, orthogonal sets, and linear transformations. Applications.
Course Grading: Guidelines: GRADING GUIDE A 100%-90%, B 89% - 80%, C 79% - 70% D 69% - 60%, F below 60%.
Exam Dates: First Exam in about 4 weeks.
Attendance Policy: Both Lecture and LAB are required.
Any student who has a need for accommodation based on the impact of a disability should contact me privately to discuss the specific situation as soon as possible. Contact Disability Resources and Services at (215) 204-1280, 100 Ritter Annex, to coordinate reasonable accommodations for students with documented disabilities.
Freedom to teach and freedom to learn are inseparable facets of academic freedom. The University has adopted a policy on Student and Faculty Academic Rights and Responsibilities (Policy # 03.70.02) which can be accessed here.
Students will be charged for a course unless a withdrawal form is processed by a registration office of the University by the Drop/Add deadline date given below. For this semester, the crucial dates are as follows:
During the first two weeks of the fall or spring semester or summer sessions, students may withdraw from a course with no record of the class appearing on the transcript. In weeks three through nine of the fall or spring semester, or during weeks three and four of summer sessions, the student may withdraw with the advisor's permission. The course will be recorded on the transcript with the instructor's notation of "W," indicating that the student withdrew. After week nine of the fall or spring semester, or week four of summer sessions, students may not withdraw from courses. No student may withdraw from more than five courses during the duration of his/her studies to earn a bachelor's degree. A student may not withdraw from the same course more than once. Students who miss the final exam and do not make alternative arrangements before the grades are turned in will be graded F.
The grade I (an "incomplete") is reserved for extreme circumstances. It is necessary to have completed almost all of the course with a passing average and to file an incomplete contract specifying what is left for you to do. To be eligible for an I grade you need a good reason and you should have missed not more than 25% of the first nine weeks of classes. If approved by the Mathematics Department chair and the CST Dean's office, the incomplete contract must include a default grade that will be used in case the I grade is not resolved within 12 months.